What is the Least Common Multiple of 57768 and 57784?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57768 and 57784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57768 and 57784, than apply into the LCM equation.

GCF(57768,57784) = 8
LCM(57768,57784) = ( 57768 × 57784) / 8
LCM(57768,57784) = 3338066112 / 8
LCM(57768,57784) = 417258264

Least Common Multiple (LCM) of 57768 and 57784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57768 and 57784. First we will calculate the prime factors of 57768 and 57784.

Prime Factorization of 57768

Prime Factorization of 57784

Now multiplying the highest exponent prime factors to calculate the LCM of 57768 and 57784.

LCM(57768,57784) = 2³ × 3¹ × 29¹ × 83¹ × 31¹ × 233¹
LCM(57768,57784) = 417258264